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Finding the Fourth Proportional to 641, 961.65 and 275.83

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Solution

The fourth proportional to 641, 961.65 and 275.83 is: 413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    641 : 961.65 = 275.83 : x
  2. Step 2: Convert to fraction form
    641/961.65 = 275.83/x
  3. Step 3: Cross multiply
    641x = 961.65 × 275.83
  4. Step 4: Simplify right side
    641x = 265,251.92
  5. Step 5: Solve for x
    x = 265,251.92/641
  6. Step 6: Final answer
    x = 413.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.